Pythagorean Theorem: For any right angle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Triangle proportionality theorem- It a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Converse of the triangle proportionality theorem- If a line divides two sides of a triangle proportionally, then it is parallel to the one side.
Side-Splitting theorem- A line parralel to one side of the trianngle divides the other two sides proportionally.
Two-transversal proportionality corollary- three of more parallel lines divide two intersecting transversals proportionally.
Proportional Median Theorem- If two triangles are similar then their corresponding medians have the same ratio as their corresponding sides
Proportional Segments Theorem- An angle bisector of a triangle divides the opposite sides into two segments that have the same ratio as the other two sides
Two-transversal proportional corally- three or more parallel lines devide the other sides proportional.
Triangle proportionality theorem- It a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Converse of the triangle proportionality theorem- If a line divides two sides of a triangle proportionally, then it is parallel to the one side.
Side-Splitting theorem- A line parralel to one side of the trianngle divides the other two sides proportionally.
Two-transversal proportionality corollary- three of more parallel lines divide two intersecting transversals proportionally.
Proportional Median Theorem- If two triangles are similar then their corresponding medians have the same ratio as their corresponding sides
Proportional Segments Theorem- An angle bisector of a triangle divides the opposite sides into two segments that have the same ratio as the other two sides
Two-transversal proportional corally- three or more parallel lines devide the other sides proportional.